A note on spatio-temporal random fields on meshed surfaces

This page contains supplementary materials to my preprint entitled “A note on spatio-temporal random fields on meshed surfaces”. The full-text of the preprint can be found here.

• Fig 1.1(B):Simulation of the presence of sulfate in the Earth atmosphere.

• Fig 2.1: Simulation of a solution to the advection-diffusion SPDE on a meshed sphere, represented from three different viewpoints on the surface.

• Fig 4.1: Simulation of a solution to the advection-diffusion SPDE on a meshed sphere, represented from three different viewpoints on the surface.

• Fig 4.2: Simulation of the spatio-temporal advection-diffusion SPDE on a cortical surface, represented from three different viewpoints on the surface.

• Fig. 4.3: Spatio-temporal evolution of the covariance between a reference point (in blue) and the rest of the points in the domain, for the spatio-temporal model simulated in Fig 4.1. The color (red to blue) represent the value of the covariance.

• Fig. 5.1: Spatio-temporal kriging predictor from data sampled from a simulation of the SPDE model and with a measurement noise of standard-deviation $\sigma=0.1$. The blue points locate the places where the observations are taken.